In this paper, a novel exponential energy-preserving method is formulated and analysed for solving charged-particle dynamics in a strong and constant magnetic field. The resulting method can exactly preserve the energy of the dynamics. Moreover, it is shown that the magnetic moment of the considered system is nearly conserved over a long time along this exponential energy-preserving method, which is proved by using modulated Fourier expansions. A numerical experiment is carried out to demonstrate the long-time behaviour of the method.

中文翻译：

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强和恒定磁场中带电粒子动力学的指数守恒方法

本文提出并分析了一种新颖的指数能量守恒方法，以解决强磁场和恒定磁场中带电粒子的动力学问题。所产生的方法可以精确地保留动力学的能量。此外，通过采用指数傅里叶展开法可以证明，沿着该指数能量守恒方法，所考虑系统的磁矩在较长时间内几乎是守恒的。进行了数值实验，证明了该方法的长期性能。